The Empire Problem in Even Embeddings on Closed Surfaces

DOI10.1002/jgt.21717zbMath1280.05043OpenAlexW2167047167MaRDI QIDQ2874086

Kenta Noguchi

Publication date: 28 January 2014

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jgt.21717

zbMATH Keywords

empire problemeven embedding

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15)

Related Items (1)

The empire problem in even embeddings on closed surfaces with \(\varepsilon\leq 0\)

Cites Work

• Unnamed Item
• 3-colorable even embeddings on closed surfaces
• Maps of m-pires on the projective plane
• Heawood's empire problem
• Three-coloring graphs embedded on surfaces with all faces even-sided
• Solution of Heawood's empire problem in the plane.
• Representing of K13 as a 2-pire map on the Klein bottle.

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